Systems and methods for an oxy-fuel type combustion reaction are provided. In one or more embodiments, a combustion system can include at least two mixing zones, where a first mixing zone at least partially mixes oxygen and carbon dioxide to produce a first mixture and a second mixing zone at least partially mixes the first mixture with a fuel to produce a second mixture. The combustion system can also include a combustion zone configured to combust the second mixture to produce a combustion product. In one or more embodiments, the first mixture can have a spatially varied ratio of oxygen-to-carbon dioxide configured to generate a hot zone in the combustion zone to increase flame stability in the combustion zone.